{"title":"使用泰勒积分逼近法的失配扰动扩展状态观测器","authors":"Cuong Duc Nguyen","doi":"arxiv-2405.02994","DOIUrl":null,"url":null,"abstract":"The development of disturbance estimators using extended state observers\n(ESOs) typically assumes that the system is observable. This paper introduces\nan improved method for systems that are initially unobservable, leveraging\nTaylor expansion to approximate the integral of disturbance dynamics. A new\nextended system is formulated based on this approximation, enabling the design\nof an observer that achieves exponential stability of the error dynamics. The\nproposed method's efficacy is demonstrated through a practical example,\nhighlighting its potential for robust disturbance estimation in dynamic\nsystems.","PeriodicalId":501062,"journal":{"name":"arXiv - CS - Systems and Control","volume":"28 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Extended State Observer for Mismatch Disturbances Using Taylor Approximation of the Integral\",\"authors\":\"Cuong Duc Nguyen\",\"doi\":\"arxiv-2405.02994\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The development of disturbance estimators using extended state observers\\n(ESOs) typically assumes that the system is observable. This paper introduces\\nan improved method for systems that are initially unobservable, leveraging\\nTaylor expansion to approximate the integral of disturbance dynamics. A new\\nextended system is formulated based on this approximation, enabling the design\\nof an observer that achieves exponential stability of the error dynamics. The\\nproposed method's efficacy is demonstrated through a practical example,\\nhighlighting its potential for robust disturbance estimation in dynamic\\nsystems.\",\"PeriodicalId\":501062,\"journal\":{\"name\":\"arXiv - CS - Systems and Control\",\"volume\":\"28 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-05-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - CS - Systems and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2405.02994\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - CS - Systems and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2405.02994","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Extended State Observer for Mismatch Disturbances Using Taylor Approximation of the Integral
The development of disturbance estimators using extended state observers
(ESOs) typically assumes that the system is observable. This paper introduces
an improved method for systems that are initially unobservable, leveraging
Taylor expansion to approximate the integral of disturbance dynamics. A new
extended system is formulated based on this approximation, enabling the design
of an observer that achieves exponential stability of the error dynamics. The
proposed method's efficacy is demonstrated through a practical example,
highlighting its potential for robust disturbance estimation in dynamic
systems.